| 同类双原子链一维量子振动的严格解 |
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| 引用本文： | 刘克家.同类双原子链一维量子振动的严格解[J].贵州工业大学学报(自然科学版),2000,29(5):13-17,22. |
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| 作者姓名： | 刘克家 |
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| 作者单位： | 贵州工业大学,冶金工程系,贵州,贵阳,550003 |
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| 摘 要： | 以量子力学变换严格求解了同类双原子链的一维量子耦合振动，得出了变换矩以及2N个原子振动的频谱。当N为一大数时，作者求解的频谱与以经典力学推导出的频谱相似，但不完全相同。
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| 关 键 词： | 量子力学 严格解 色散关系 原子链 量子耦合振动 |
Exact solution for quantum oscillators of one dimensional coupled identical diatomic chain |
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| LIU Ke-jia.Exact solution for quantum oscillators of one dimensional coupled identical diatomic chain[J].Journal of Guizhou University of Technology(Natural Science Edition),2000,29(5):13-17,22. |
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| Authors: | LIU Ke-jia |
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| Abstract: | In this paper,a quantum transformation
for diagonalizing the Hamiltonian of a ring of N coupled diatomic identical oscillators is
found,from which the dispersion relation of the system is obtained.For a large N,the
dispersion relation obtained is different from what is given by the Newtonian equation of
motion.The reason for the difference in dispersion relation is discussed,and the
deficiency of the classical method is pointed out. |
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| Keywords: | exact solution for the quantum mechanics dispersion relation diatomic chain |
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